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Complex Multiplication in Twistor Spaces

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Despite the transcendental nature of the twistor construction, the algebraic fibres of the twistor space of a K3 surface share certain arithmetic properties. We prove that for a polarised K3… Click to show full abstract

Despite the transcendental nature of the twistor construction, the algebraic fibres of the twistor space of a K3 surface share certain arithmetic properties. We prove that for a polarised K3 surface with complex multiplication, all algebraic fibres of its twistor space away from the equator have complex multiplication as well.

Keywords: complex multiplication; twistor spaces; multiplication twistor; multiplication

Journal Title: International Mathematics Research Notices
Year Published: 2020

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